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Finding the Third Proportional to 336,880.50 and 506,686.50

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Solution

The third proportional to 336,880.50 and 506,686.50 is: 762,083.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,880.50 : 506,686.50 = 506,686.50 : x
  2. Step 2: Convert to fraction form
    336,880.50/506,686.50 = 506,686.50/x
  3. Step 3: Cross multiply
    336,880.50x = 506,686.50 × 506,686.50
  4. Step 4: Simplify right side
    336,880.50x = 256,731,209,282.25
  5. Step 5: Solve for x
    x = 256,731,209,282.25/336,880.50
  6. Step 6: Final answer
    x = 762,083.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.